What is the Greatest Common Factor of 38250 and 38260?

Greatest common factor (GCF) of 38250 and 38260 is 10.

GCF(38250,38260) = 10

We will now calculate the prime factors of 38250 and 38260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38250 and 38260.

How to find the GCF of 38250 and 38260?

We will first find the prime factorization of 38250 and 38260. After we will calculate the factors of 38250 and 38260 and find the biggest common factor number .

Step-1: Prime Factorization of 38250

Prime factors of 38250 are 2, 3, 5, 17. Prime factorization of 38250 in exponential form is:

38250 = 2¹ × 3² × 5³ × 17¹

Step-2: Prime Factorization of 38260

Prime factors of 38260 are 2, 5, 1913. Prime factorization of 38260 in exponential form is:

38260 = 2² × 5¹ × 1913¹

Step-3: Factors of 38250

List of positive integer factors of 38250 that divides 38250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 25, 30, 34, 45, 50, 51, 75, 85, 90, 102, 125, 150, 153, 170, 225, 250, 255, 306, 375, 425, 450, 510, 750, 765, 850, 1125, 1275, 1530, 2125, 2250, 2550, 3825, 4250, 6375, 7650, 12750, 19125

Step-4: Factors of 38260

List of positive integer factors of 38260 that divides 38250 without a remainder.

1, 2, 4, 5, 10, 20, 1913, 3826, 7652, 9565, 19130

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38250 and 38260. The biggest common factor number is the GCF number.
So the greatest common factor 38250 and 38260 is 10.

Also check out the Least Common Multiple of 38250 and 38260